To get past the star:
Push the medusa into the area with spikes and conveyors so the 3-step flag pushes the rock, then the bottom 3-step flag is pushed onto the spikes and lets you pass.
- Go down and right to hit the 3-flag
- Go right, then die by moving up and down
- Go up and left to reach wormhole
Once you're in the 2-space corner:
- Hit the 3-flag again, then face left
- Go up, then right, then back down to align the top cat
- Hit the top 3-flag, then push the rock into the spikes. It pushes you back down.